Long-time behavior of a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes  

作　　者：Yuguo Lin Daqing Jiangt 

机构地区：[1]School of Mathematics and StatisticsBeihua University, Jilin 132013, P. R. China [2]College of ScienceChina University of Petroleum (East China) Qingdao 266580, P. R. China

出　　处：《International Journal of Biomathematics》2016年第3期121-138,共18页生物数学学报（英文版）

摘　　要：In this paper, we consider a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes. We analyze long-time behavior of densities of the distri- butions of the solution. We prove that the densities can converge in L1 to an invariant density or can converge weakly to a singular measure under appropriate conditions.

关 键 词：Diffusion process Markov semigroups asymptotic stability. 

分 类 号：O175.2[理学—数学] Q141[理学—基础数学]